Distributive Property and Combining Like Terms Mastery

The video tutorial covers the distributive property and combining like terms in algebra. It begins with an introduction to the distributive property, explaining how to handle expressions with numbers outside parentheses. The tutorial then moves on to combining like terms, providing examples and step-by-step solutions. Advanced examples are presented, including problems with decimals and fractions, to demonstrate the application of these concepts in more complex scenarios.

What is the result of distributing 3 to the terms inside the parentheses in the expression 3(x + 5) - 4?

• 3x + 15 - 4

• 3x + 5 - 4

• x + 20

• 3x + 9

Tags

CCSS.6.EE.A.3

After distributing and combining like terms, what is the simplified form of 3x + 15 - 4?

• 3x + 9

• 18x - 4

• 3x + 19

• 3x + 11

Tags

CCSS.7.EE.A.1

In the expression 3y - 6 + 5, what is the final simplified form?

• 8y - 1

• 3y - 11

• 3y + 1

• 3y - 1

Tags

CCSS.7.EE.A.1

What is the result of applying the distributive property to 3(4 + k) - 5k?

• 12 + 3k - 5k

• 12k - 2k

• 12 + 8k

• 7k + 12

Tags

CCSS.6.EE.A.3

How do you combine the terms 3k and -5k?

• -2k

• 8k

• 2k

• -8k

Tags

CCSS.7.EE.A.1

What is the simplified form of the expression 3m + 15 - 4?

• 3m + 11

• 3m + 19

• 18m - 4

• 3m + 9

Tags

CCSS.7.EE.A.1

What is the result of distributing -2 to the terms inside the parentheses in the expression -2(y - 1) + 7y?

• -9y + 2

• -2y - 1 + 7y

• -2y + 2 + 7y

• 5y + 1

Tags

CCSS.6.EE.A.3

After simplifying -2y + 2 + 7y, what is the final expression?

• 9y + 2

• -5y + 2

• 5y - 2

• 5y + 2

Tags

CCSS.7.EE.A.1

What is the result of distributing 6.2 to the terms inside the parentheses in the expression 6.2(3d + 2.5) + d?

• 18.6d + 15.5 + d

• 18.6d + 2.5d + d

• 9.3d + 15.5

• 6.2d + 7.5 + d

Tags

CCSS.6.EE.A.3

What is the final simplified form of the expression 5.4x + 8.1 - 4.6?

• 13.5x - 4.6

• 5.4x + 4.5

• 5.4x + 3.5

• 5.4x - 4.6

Tags

CCSS.7.EE.A.1